A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs wa
shed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.
In the system of equations, x represents the, _____and y represents the_____.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.
The total cost of 1 car and 1 SUV is $_____.
The total earnings for hour 3 are $______.
The missing part of the picture is:
4x + 2y = 84
3x + 5y = 126
In the system of equations, x represents the, _____and y represents the_____.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.
The total cost of 1 car and 1 SUV is $_____.
The total earnings for hour 3 are $______.
The missing part of the picture is:
4x + 2y = 84
3x + 5y = 126
2 answers:
Answer:
see below
Step-by-step explanation:
In the system of equations, x represents the, price to wash a car and y represents the price to wash an SUV.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are the price of the car wash (x) and the price of the SUV wash (y)______.
x=12 and y = 18
x+y = 12+18 = 30
The total cost of 1 car and 1 SUV is $_30____.
5x+4y = 5(12)+4(18) = 60+ 72 =132
The total earnings for hour 3 are $_132_____.
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The coordinate points that are on the line are (4, 11), (6, 14), and (30 50)
<h2>Equation of a line</h2>The equation of a line in slope-intercept form is expressed as y = mx + b
Given the coordinate points (0, 5) and (2, 8), first, we need to find the equation of the line passing through this point.
<h3>Slope and intercept of a line</h3><u>Get the slope of the equation:</u>
The y-intercept is the point where x = 0. From the given coordinates, you can see that b = 5.
<u>Get the required equation:</u>
Recall that y = mx + b. On substituting;
y = 1.5x + 5
Next is to check which of the points listed are on the line.
<u>For the coordinate (4,11).</u>
If x = 4
y = 1.5(4) + 5
y = 6 + 5
y = 11
Therefore (4, 11) is on the line y = 1.5x + 5
<u>For the coordinate (5,10).</u>
If x = 5
y = 1.5(5) + 5
y = 7.5 + 5
y = 12.5
Therefore (5, 10) is NOT on the line y = 1.5x + 5
<u>For the coordinate (6,14).</u>
If x = 4
y = 1.5(6) + 5
y = 9 + 5
y = 14
Therefore (6, 14) is on the line y = 1.5x + 5
<u>For the coordinate (30,50).</u>
If x = 30
y = 1.5(30) + 5
y = 45 + 5
y = 50
Therefore (30, 50) is on the line y = 1.5x + 5
<u>For the coordinate (40,60).</u>
If x = 40
y = 1.5(40) + 5
y = 60 + 5
y = 65
Therefore (40, 65) is on NOT the line y = 1.5x + 5
Hence the coordinate points that are on the line are (4, 11), (6, 14), and (30 50).
Learn more on the equation of a line here: brainly.com/question/13763238
Answer:
Step-by-step explanation:
Answer:
6x-5
Step-by-step explanation:
We apply distributive property to get rid of the first parenthesis, by multiplying each term inside by the factor 1/6:
now we get rid of the second parenthesis by multiplying the factor "" times each of the terms inside the parenthesis (notice here that this factor is negative , so it will flip the signs of the terms it multiplies):
Next we combine like terms: